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Lyapunov’s definition of stability

  • Eberhard Brommundt
Part of the International Centre for Mechanical Sciences book series (CISM, volume 1)

Abstract

Let
$$G\left[ u \right] = 0$$
(A)
be an equation of motion which governs the motion of a given system completely (differential equation with proper boundary conditions, Hamilton’s principle in its general form, etc.; cf. sect. 9). In general u will be an N-dimensional vector, cf. \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{x} \left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{X} ,t} \right)\) in section 1.2.

Keywords

Ordinary Differential Equation Nonlinear Equation asymptotIc Stability Stability Problem Variational Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 1969

Authors and Affiliations

  • Eberhard Brommundt
    • 1
  1. 1.Technical University of DarmstadtGermany

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